% u(x) = e^(y + sin(x))

X = [
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
];
Y = [
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
1
1
1
1
1
1
1
1
1
];
U = [
1 
1.13278 
1.2807 
1.44235 
1.61515 
1.79517 
1.97712 
2.15447 
2.31978 
1.13315 
1.2835 
1.45105 
1.63418 
1.82999 
2.03401 
2.24024 
2.44128 
2.62865 
1.28403 
1.45434 
1.64415 
1.85165 
2.07352 
2.30472 
2.53845 
2.76629 
2.97865 
1.45499 
1.64796 
1.86302 
2.09814 
2.34955 
2.61155 
2.87641 
3.13461 
3.37526 
1.64872 
1.86739 
2.11108 
2.37751 
2.6624 
2.95927 
3.2594 
3.55197 
3.82467 
1.86825 
2.11606 
2.39222 
2.69413 
3.01695 
3.35335 
3.69342 
4.02494 
4.33391 
2.117 
2.39786 
2.71085 
3.05298 
3.41879 
3.79996 
4.18528 
4.56089 
4.91097 
2.39888 
2.71724 
3.07197 
3.4597 
3.87422 
4.30612 
4.74268 
5.16823 
5.56486 
2.71828 
3.07922 
3.48129 
3.92071 
4.39042 
4.87977 
5.37436 
5.85645 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind1.png');
X = [
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
];
Y = [
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
];
U = [
1 
1.06445 
1.13278 
1.20491 
1.2807 
1.35994 
1.44235 
1.52757 
1.61515 
1.70455 
1.79517 
1.88628 
1.97712 
2.06681 
2.15447 
2.23912 
2.31978 
1.06449 
1.13309 
1.20582 
1.2826 
1.36327 
1.44762 
1.53534 
1.62606 
1.71929 
1.81446 
1.91092 
2.00791 
2.10461 
2.2001 
2.29341 
2.38352 
2.46939 
1.13315 
1.20617 
1.28358 
1.3653 
1.45118 
1.54096 
1.63434 
1.73091 
1.83015 
1.93146 
2.03414 
2.1374 
2.24033 
2.34199 
2.44132 
2.53725 
2.62865 
1.20623 
1.28395 
1.36636 
1.45335 
1.54475 
1.64033 
1.73973 
1.84252 
1.94816 
2.05601 
2.16532 
2.27523 
2.38481 
2.49302 
2.59876 
2.70088 
2.79818 
1.28403 
1.36676 
1.45447 
1.54707 
1.64437 
1.74611 
1.85192 
1.96134 
2.0738 
2.1886 
2.30496 
2.42197 
2.53861 
2.6538 
2.76637 
2.87507 
2.97865 
1.36684 
1.45491 
1.54828 
1.64684 
1.75042 
1.85872 
1.97135 
2.08783 
2.20754 
2.32975 
2.45361 
2.57816 
2.70233 
2.82496 
2.94478 
3.0605 
3.17076 
1.45499 
1.54874 
1.64813 
1.75305 
1.86331 
1.97859 
2.09849 
2.22248 
2.34991 
2.48 
2.61185 
2.74444 
2.87662 
3.00715 
3.1347 
3.25788 
3.37526 
1.54883 
1.64862 
1.75442 
1.86611 
1.98348 
2.1062 
2.23383 
2.36581 
2.50146 
2.63994 
2.7803 
2.92144 
3.06214 
3.20109 
3.33687 
3.468 
3.59294 
1.64872 
1.75495 
1.86758 
1.98647 
2.1114 
2.24204 
2.3779 
2.5184 
2.66279 
2.81021 
2.95961 
3.10985 
3.25963 
3.40754 
3.55208 
3.69166 
3.82467 
1.75505 
1.86814 
1.98803 
2.11459 
2.24758 
2.38664 
2.53127 
2.68083 
2.83453 
2.99145 
3.1505 
3.31043 
3.46987 
3.62732 
3.78117 
3.92976 
4.07134 
1.86825 
1.98862 
2.11625 
2.25098 
2.39255 
2.54057 
2.69453 
2.85373 
3.01736 
3.1844 
3.3537 
3.52394 
3.69366 
3.86126 
4.02504 
4.1832 
4.33391 
1.98874 
2.11688 
2.25274 
2.39616 
2.54686 
2.70444 
2.86832 
3.0378 
3.21197 
3.38979 
3.57 
3.75122 
3.93189 
4.1103 
4.28464 
4.453 
4.61343 
2.117 
2.25341 
2.39804 
2.55071 
2.71114 
2.87888 
3.05333 
3.23374 
3.41915 
3.60843 
3.80026 
3.99317 
4.18548 
4.3754 
4.56098 
4.7402 
4.91097 
2.25353 
2.39875 
2.55271 
2.71523 
2.88601 
3.06457 
3.25028 
3.44232 
3.63969 
3.84117 
4.04538 
4.25073 
4.45544 
4.6576 
4.85514 
5.04592 
5.2277 
2.39888 
2.55346 
2.71736 
2.89037 
3.07217 
3.26225 
3.45994 
3.66436 
3.87446 
4.08894 
4.30631 
4.5249 
4.74281 
4.958 
5.16828 
5.37135 
5.56486 
2.55359 
2.71816 
2.89263 
3.07681 
3.27034 
3.47268 
3.68312 
3.90073 
4.12438 
4.35269 
4.58408 
4.81676 
5.04872 
5.27778 
5.50162 
5.71778 
5.92376 
2.71828 
2.89348 
3.07922 
3.27528 
3.48129 
3.69669 
3.92071 
4.15236 
4.39042 
4.63345 
4.87977 
5.12744 
5.37436 
5.61818 
5.85645 
6.08655 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind2.png');
X = [
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
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5.39051 
5.50162 
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4.0246 
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2.71828 
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5.25114 
5.37436 
5.49681 
5.61818 
5.73817 
5.85645 
5.97269 
6.08655 
6.1977 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind3.png');
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3.9632 
4.01567 
4.06829 
4.12103 
4.17388 
4.2268 
4.27977 
4.33275 
4.38573 
4.43867 
4.49153 
4.5443 
4.59693 
4.64939 
4.70167 
4.75371 
4.80549 
4.85697 
4.90812 
4.9589 
5.00929 
5.05923 
5.10871 
5.15768 
5.2061 
5.25395 
5.30117 
5.34775 
5.39364 
2.36168 
2.39887 
2.43664 
2.47498 
2.5139 
2.55338 
2.59344 
2.63407 
2.67527 
2.71702 
2.75933 
2.8022 
2.84561 
2.88956 
2.93405 
2.97906 
3.0246 
3.07064 
3.11718 
3.16422 
3.21174 
3.25972 
3.30816 
3.35705 
3.40637 
3.4561 
3.50623 
3.55674 
3.60763 
3.65886 
3.71042 
3.76229 
3.81446 
3.8669 
3.91958 
3.97249 
4.02561 
4.0789 
4.13235 
4.18593 
4.23961 
4.29336 
4.34717 
4.40099 
4.4548 
4.50856 
4.56226 
4.61586 
4.66932 
4.72261 
4.77571 
4.82857 
4.88116 
4.93345 
4.98541 
5.03699 
5.08817 
5.1389 
5.18916 
5.2389 
5.28808 
5.33668 
5.38466 
5.43197 
5.47858 
2.39888 
2.43665 
2.47501 
2.51396 
2.55348 
2.59359 
2.63429 
2.67555 
2.7174 
2.75981 
2.80279 
2.84633 
2.89042 
2.93507 
2.98025 
3.02598 
3.07223 
3.119 
3.16627 
3.21405 
3.26232 
3.31106 
3.36026 
3.40992 
3.46001 
3.51052 
3.56144 
3.61275 
3.66444 
3.71648 
3.76885 
3.82154 
3.87453 
3.92779 
3.98131 
4.03505 
4.089 
4.14314 
4.19743 
4.25185 
4.30637 
4.36098 
4.41562 
4.47029 
4.52495 
4.57956 
4.63411 
4.68855 
4.74285 
4.79698 
4.85091 
4.90461 
4.95803 
5.01114 
5.06392 
5.11631 
5.1683 
5.21983 
5.27088 
5.3214 
5.37136 
5.42072 
5.46945 
5.51751 
5.56486 
2.43665 
2.47502 
2.51399 
2.55354 
2.5937 
2.63444 
2.67577 
2.71769 
2.76019 
2.80327 
2.84692 
2.89115 
2.93594 
2.98129 
3.02719 
3.07363 
3.12061 
3.16811 
3.21614 
3.26466 
3.31369 
3.3632 
3.41318 
3.46362 
3.5145 
3.56581 
3.61753 
3.66965 
3.72214 
3.775 
3.8282 
3.88172 
3.93555 
3.98965 
4.044 
4.0986 
4.1534 
4.20838 
4.26353 
4.31881 
4.37419 
4.42965 
4.48516 
4.54069 
4.59621 
4.65168 
4.70708 
4.76238 
4.81754 
4.87252 
4.9273 
4.98184 
5.03611 
5.09006 
5.14366 
5.19689 
5.24969 
5.30203 
5.35388 
5.4052 
5.45595 
5.50609 
5.55558 
5.6044 
5.65249 
2.47502 
2.514 
2.55358 
2.59376 
2.63454 
2.67592 
2.71791 
2.76049 
2.80366 
2.84741 
2.89176 
2.93668 
2.98217 
3.02824 
3.07486 
3.12203 
3.16975 
3.218 
3.26678 
3.31608 
3.36587 
3.41616 
3.46693 
3.51816 
3.56984 
3.62196 
3.6745 
3.72744 
3.78076 
3.83445 
3.88849 
3.94285 
3.99752 
4.05247 
4.10769 
4.16314 
4.2188 
4.27466 
4.33067 
4.38682 
4.44307 
4.49941 
4.55579 
4.6122 
4.66859 
4.72494 
4.78121 
4.83738 
4.8934 
4.94926 
5.0049 
5.0603 
5.11541 
5.17022 
5.22466 
5.27872 
5.33236 
5.38553 
5.43819 
5.49032 
5.54186 
5.5928 
5.64307 
5.69265 
5.7415 
2.514 
2.55359 
2.59379 
2.6346 
2.67603 
2.71806 
2.76071 
2.80396 
2.84781 
2.89225 
2.9373 
2.98292 
3.02914 
3.07592 
3.12328 
3.1712 
3.21967 
3.26868 
3.31823 
3.3683 
3.41888 
3.46996 
3.52152 
3.57356 
3.62606 
3.679 
3.73236 
3.78614 
3.8403 
3.89484 
3.94972 
4.00494 
4.06047 
4.11629 
4.17238 
4.2287 
4.28524 
4.34197 
4.39887 
4.4559 
4.51304 
4.57026 
4.62754 
4.68483 
4.74211 
4.79934 
4.8565 
4.91356 
4.97046 
5.0272 
5.08371 
5.13998 
5.19597 
5.25164 
5.30694 
5.36185 
5.41633 
5.47034 
5.52383 
5.57678 
5.62914 
5.68087 
5.73194 
5.7823 
5.83192 
2.55359 
2.5938 
2.63464 
2.67609 
2.71817 
2.76087 
2.80418 
2.84811 
2.89265 
2.9378 
2.98355 
3.0299 
3.07684 
3.12436 
3.17247 
3.22114 
3.27037 
3.32016 
3.37048 
3.42134 
3.47272 
3.5246 
3.57698 
3.62984 
3.68316 
3.73693 
3.79114 
3.84576 
3.90078 
3.95617 
4.01192 
4.06801 
4.12442 
4.18112 
4.23808 
4.29529 
4.35272 
4.41035 
4.46814 
4.52607 
4.58411 
4.64224 
4.70041 
4.7586 
4.81678 
4.87492 
4.93298 
4.99093 
5.04874 
5.10636 
5.16377 
5.22093 
5.2778 
5.33434 
5.39051 
5.44629 
5.50162 
5.55648 
5.61082 
5.6646 
5.71778 
5.77033 
5.8222 
5.87336 
5.92376 
2.5938 
2.63465 
2.67612 
2.71823 
2.76098 
2.80435 
2.84834 
2.89296 
2.93821 
2.98407 
3.03054 
3.07761 
3.12529 
3.17356 
3.22242 
3.27186 
3.32187 
3.37244 
3.42356 
3.47522 
3.52741 
3.58011 
3.63331 
3.687 
3.74116 
3.79578 
3.85084 
3.90632 
3.96221 
4.01847 
4.0751 
4.13208 
4.18937 
4.24696 
4.30482 
4.36294 
4.42127 
4.4798 
4.53851 
4.59735 
4.6563 
4.71534 
4.77443 
4.83354 
4.89264 
4.95169 
5.01067 
5.06953 
5.12825 
5.18678 
5.24509 
5.30315 
5.36091 
5.41834 
5.4754 
5.53206 
5.58826 
5.64398 
5.69918 
5.7538 
5.80782 
5.8612 
5.91389 
5.96585 
6.01704 
2.63465 
2.67614 
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2.76104 
2.80445 
2.84851 
2.8932 
2.93852 
2.98448 
3.03106 
3.07826 
3.12608 
3.17451 
3.22354 
3.27317 
3.32339 
3.37418 
3.42555 
3.47747 
3.52995 
3.58296 
3.63649 
3.69053 
3.74506 
3.80008 
3.85556 
3.91148 
3.96784 
4.0246 
4.08175 
4.13928 
4.19715 
4.25534 
4.31384 
4.37261 
4.43164 
4.4909 
4.55035 
4.60998 
4.66975 
4.72963 
4.7896 
4.84962 
4.90966 
4.96969 
5.02967 
5.08957 
5.14936 
5.209 
5.26846 
5.32769 
5.38666 
5.44533 
5.50367 
5.56163 
5.61917 
5.67627 
5.73286 
5.78893 
5.84441 
5.89928 
5.9535 
6.00702 
6.0598 
6.1118 
2.67614 
2.71828 
2.76107 
2.80452 
2.84862 
2.89337 
2.93876 
2.9848 
3.03148 
3.07879 
3.12674 
3.17531 
3.2245 
3.27431 
3.32472 
3.37572 
3.42732 
3.4795 
3.53224 
3.58554 
3.63938 
3.69375 
3.74865 
3.80404 
3.85992 
3.91628 
3.97308 
4.03032 
4.08798 
4.14603 
4.20446 
4.26324 
4.32235 
4.38177 
4.44147 
4.50143 
4.56162 
4.62201 
4.68257 
4.74328 
4.80411 
4.86502 
4.92599 
4.98697 
5.04795 
5.10888 
5.16972 
5.23046 
5.29103 
5.35142 
5.41159 
5.47149 
5.53108 
5.59034 
5.64921 
5.70766 
5.76565 
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5.88009 
5.93645 
5.99218 
6.04725 
6.10161 
6.15523 
6.20804 
2.71828 
2.76109 
2.80456 
2.84869 
2.89348 
2.93893 
2.98504 
3.0318 
3.07922 
3.12727 
3.17598 
3.22531 
3.27528 
3.32587 
3.37707 
3.42888 
3.48129 
3.53429 
3.58786 
3.642 
3.69669 
3.75192 
3.80768 
3.86395 
3.92071 
3.97795 
4.03565 
4.09379 
4.15236 
4.21132 
4.27067 
4.33038 
4.39042 
4.45078 
4.51142 
4.57232 
4.63345 
4.6948 
4.75631 
4.81798 
4.87977 
4.94164 
5.00356 
5.06551 
5.12744 
5.18933 
5.25114 
5.31282 
5.37436 
5.4357 
5.49681 
5.55765 
5.61818 
5.67837 
5.73817 
5.79755 
5.85645 
5.91484 
5.97269 
6.02993 
6.08655 
6.14248 
6.1977 
6.25216 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind4.png');

err = [
0.000536981
0.000137595
3.44503e-05
8.62424e-06
];
plot(err);
saveas(gcf,'0-norm-Err1.png');
err = [
0.0144239
0.0148147
0.0149137
0.0149387
];
plot(err);
saveas(gcf,'1-norm-Err2.png');
err = [
0.00227258
0.00114148
0.000571362
0.000285761
];
plot(err);
saveas(gcf,'2-norm-Err3.png');
X = [
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
];
Y = [
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
1
1
1
1
1
1
1
1
1
];
U = [
1.02615 
1.15356 
1.30067 
1.46347 
1.63875 
1.82263 
2.01035 
2.19719 
2.38208 
1.15115 
1.30177 
1.46984 
1.65441 
1.85263 
2.06014 
2.27113 
2.4783 
2.67205 
1.29811 
1.46982 
1.66087 
1.87001 
2.09413 
2.32827 
2.5656 
2.79739 
3.01294 
1.46631 
1.66078 
1.87727 
2.11402 
2.36743 
2.63184 
2.89947 
3.16052 
3.40356 
1.65762 
1.87763 
2.12266 
2.39054 
2.67712 
2.97596 
3.27829 
3.57319 
3.8481 
1.87483 
2.12373 
2.401 
2.70409 
3.02825 
3.36619 
3.70803 
4.04154 
4.35277 
2.12132 
2.40297 
2.71674 
3.05971 
3.42646 
3.80872 
4.19536 
4.57264 
4.92498 
2.40099 
2.71979 
3.07493 
3.46309 
3.8781 
4.31058 
4.74789 
5.17453 
5.57309 
2.71828 
3.07922 
3.48129 
3.92071 
4.39042 
4.87977 
5.37436 
5.85645 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind5.png');
X = [
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
];
Y = [
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
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0.6875
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0.75
0.75
0.75
0.75
0.75
0.75
0.75
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0.75
0.75
0.75
0.75
0.75
0.75
0.75
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0.8125
0.8125
0.8125
0.8125
0.8125
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0.8125
0.8125
0.8125
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0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
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0.9375
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
];
U = [
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1.07013 
1.1379 
1.20984 
1.28562 
1.36497 
1.44758 
1.53308 
1.62101 
1.71085 
1.80198 
1.89373 
1.98535 
2.07604 
2.16507 
2.25195 
2.33732 
1.06981 
1.1382 
1.21072 
1.28741 
1.36812 
1.45259 
1.54051 
1.6315 
1.72507 
1.82067 
1.91763 
2.01524 
2.11267 
2.20907 
2.30351 
2.39503 
2.48231 
1.13757 
1.21071 
1.28814 
1.36989 
1.45585 
1.54578 
1.63937 
1.7362 
1.83578 
1.9375 
2.04066 
2.14447 
2.24806 
2.35046 
2.45063 
2.54741 
2.63942 
1.21011 
1.28802 
1.37055 
1.45765 
1.54919 
1.64494 
1.74456 
1.84762 
1.95358 
2.0618 
2.17155 
2.28196 
2.3921 
2.50091 
2.60728 
2.70997 
2.80764 
1.28749 
1.37044 
1.45832 
1.55107 
1.64853 
1.75046 
1.85649 
1.96618 
2.07894 
2.19409 
2.31084 
2.42829 
2.54541 
2.66109 
2.77414 
2.88327 
2.98715 
1.36995 
1.45823 
1.55179 
1.65053 
1.75428 
1.86278 
1.97563 
2.09236 
2.21236 
2.33488 
2.4591 
2.58404 
2.70862 
2.83166 
2.95188 
3.06795 
3.17848 
1.45779 
1.55174 
1.65131 
1.75642 
1.86686 
1.98233 
2.10245 
2.22668 
2.35437 
2.48475 
2.61692 
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2.88238 
3.01327 
3.14117 
3.26466 
3.3823 
1.55133 
1.65131 
1.75729 
1.86915 
1.9867 
2.10961 
2.23744 
2.36965 
2.50554 
2.64429 
2.78493 
2.92637 
3.06739 
3.20665 
3.34274 
3.47416 
3.59937 
1.65093 
1.75733 
1.87012 
1.98918 
2.11429 
2.2451 
2.38115 
2.52185 
2.66647 
2.81412 
2.96378 
3.11429 
3.26436 
3.41255 
3.55738 
3.69724 
3.83051 
1.75697 
1.87021 
1.99025 
2.11697 
2.25012 
2.38934 
2.53414 
2.68388 
2.83779 
2.99492 
3.15419 
3.31436 
3.47406 
3.63177 
3.7859 
3.93476 
4.07662 
1.86988 
1.99039 
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2.25302 
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3.02018 
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2.7126 
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3.05501 
3.23553 
3.42106 
3.61047 
3.80245 
3.99552 
4.18801 
4.37812 
4.56393 
4.74341 
4.9145 
2.25433 
2.39963 
2.55366 
2.71626 
2.88711 
3.06575 
3.25154 
3.44367 
3.64113 
3.84272 
4.04704 
4.25251 
4.45736 
4.65969 
4.85743 
5.04846 
5.23057 
2.3994 
2.55404 
2.71799 
2.89106 
3.0729 
3.26304 
3.46078 
3.66527 
3.87542 
4.08997 
4.30743 
4.5261 
4.74411 
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5.16987 
5.37316 
5.56698 
2.55385 
2.71845 
2.89295 
3.07715 
3.2707 
3.47307 
3.68354 
3.90119 
4.12486 
4.35321 
4.58464 
4.81736 
5.04937 
5.27851 
5.50243 
5.71874 
5.92498 
2.71828 
2.89348 
3.07922 
3.27528 
3.48129 
3.69669 
3.92071 
4.15236 
4.39042 
4.63345 
4.87977 
5.12744 
5.37436 
5.61818 
5.85645 
6.08655 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind6.png');
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5.85645 
5.97269 
6.08655 
6.1977 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind7.png');
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3.53429 
3.58786 
3.642 
3.69669 
3.75192 
3.80768 
3.86395 
3.92071 
3.97795 
4.03565 
4.09379 
4.15236 
4.21132 
4.27067 
4.33038 
4.39042 
4.45078 
4.51142 
4.57232 
4.63345 
4.6948 
4.75631 
4.81798 
4.87977 
4.94164 
5.00356 
5.06551 
5.12744 
5.18933 
5.25114 
5.31282 
5.37436 
5.4357 
5.49681 
5.55765 
5.61818 
5.67837 
5.73817 
5.79755 
5.85645 
5.91484 
5.97269 
6.02993 
6.08655 
6.14248 
6.1977 
6.25216 
6.30581 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind8.png');

err = [
0.0622985
0.0175462
0.00488087
0.00134446
];
plot(err);
saveas(gcf,'0-norm-Err4.png');
err = [
1.22858
1.08182
1.01062
0.97587
];
plot(err);
saveas(gcf,'1-norm-Err5.png');
err = [
0.171943
0.078336
0.0372148
0.018121
];
plot(err);
saveas(gcf,'2-norm-Err6.png');
X = [
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0.170892
0.538408
0.160024
0.549276
0.251007
0.458293
0.25
0.25
0.375
0.375
0.5
0.5
];
Y = [
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
1
1
1
1
1
1
1
1
1
0.5
0.5
0.625
0.625
0.75
0.75
0.408514
0.749386
0.379988
0.777912
0.44157
0.71633
];
U = [
1 
1.13278 
1.2807 
1.44235 
1.61515 
1.79517 
1.97712 
2.15447 
2.31978 
1.13315 
1.28468 
1.45312 
1.63667 
1.83267 
2.0363 
2.24184 
2.44209 
2.62865 
1.28403 
1.45696 
1.64878 
1.85684 
2.07946 
2.30961 
2.54174 
2.76793 
2.97865 
1.45499 
1.65262 
1.87165 
2.10584 
2.36057 
2.61955 
2.88147 
3.13704 
3.37526 
1.64872 
1.87478 
0 
0 
0 
2.97034 
3.26592 
3.555 
3.82467 
1.86825 
2.12381 
0 
0 
0 
3.36523 
3.70034 
4.0281 
4.33391 
2.117 
2.40525 
2.72867 
0 
3.44002 
3.81131 
4.19139 
4.56359 
4.91097 
2.39888 
2.72123 
3.08052 
3.47209 
3.88417 
4.31231 
4.74614 
5.16977 
5.56486 
2.71828 
3.07922 
3.48129 
3.92071 
4.39042 
4.87977 
5.37436 
5.85645 
6.30581 
1.96465 
2.7688 
2.20064 
3.16466 
2.73145 
3.32179 
1.9372 
2.72701 
2.11637 
3.16543 
2.52788 
3.32783 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind9.png');
X = [
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0.213257
0.496043
0.170892
0.538408
0.155328
0.553972
0.160024
0.549276
0.186671
0.522629
0.251007
0.458293
0.1875
0.1875
0.25
0.25
0.3125
0.3125
0.375
0.375
0.4375
0.4375
0.5
0.5
];
Y = [
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.0625
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.1875
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.3125
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.4375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.5625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.6875
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.8125
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.4375
0.4375
0.5
0.5
0.5625
0.5625
0.625
0.625
0.6875
0.6875
0.75
0.75
0.469128
0.688772
0.408514
0.749386
0.383442
0.774458
0.379988
0.777912
0.396917
0.760983
0.44157
0.71633
];
U = [
1 
1.06445 
1.13278 
1.20491 
1.2807 
1.35994 
1.44235 
1.52757 
1.61515 
1.70455 
1.79517 
1.88628 
1.97712 
2.06681 
2.15447 
2.23912 
2.31978 
1.06449 
1.13328 
1.20617 
1.28309 
1.36386 
1.44828 
1.53603 
1.62675 
1.71995 
1.81507 
1.91146 
2.00838 
2.10499 
2.20038 
2.2936 
2.38362 
2.46939 
1.13315 
1.20654 
1.2843 
1.36631 
1.4524 
1.54231 
1.63575 
1.73231 
1.8315 
1.93271 
2.03524 
2.13833 
2.24109 
2.34255 
2.4417 
2.53743 
2.62865 
1.20623 
1.28455 
1.36751 
1.45496 
1.54669 
1.64244 
1.74191 
1.8447 
1.95025 
2.05793 
2.167 
2.27665 
2.38595 
2.49387 
2.59933 
2.70116 
2.79818 
1.28403 
1.36763 
1.45616 
1.54942 
1.64716 
1.74908 
1.85495 
1.96439 
2.0767 
2.19124 
2.30726 
2.42388 
2.54014 
2.65494 
2.76712 
2.87545 
2.97865 
1.36684 
1.45611 
1.55063 
1.65016 
1.75432 
1.86267 
1.97529 
2.09188 
2.21139 
2.33319 
2.45656 
2.58059 
2.70425 
2.82637 
2.94571 
3.06096 
3.17076 
1.45499 
1.55034 
1.65133 
1.75772 
1.86887 
1.98358 
2.1032 
2.22786 
2.35492 
2.48434 
2.61547 
2.74737 
2.8789 
3.00882 
3.1358 
3.25842 
3.37526 
1.54883 
1.65064 
1.75858 
1.87272 
0 
0 
0 
0 
2.50795 
2.64521 
2.78456 
2.92483 
3.06476 
3.203 
3.33812 
3.46861 
3.59294 
1.64872 
1.75726 
1.87239 
0 
0 
0 
0 
0 
0 
2.81619 
2.96438 
3.11363 
3.26252 
3.40964 
3.55344 
3.69233 
3.82467 
1.75505 
1.87054 
1.99274 
0 
0 
0 
0 
0 
0 
2.99732 
3.15554 
3.31446 
3.47294 
3.62953 
3.7826 
3.93045 
4.07134 
1.86825 
1.99122 
2.12162 
0 
0 
0 
0 
0 
0 
3.19138 
3.35921 
3.52818 
3.69683 
3.86351 
4.02648 
4.18391 
4.33391 
1.98874 
2.11951 
2.25841 
0 
0 
0 
0 
0 
0 
3.39785 
3.5758 
3.75549 
3.93499 
4.11247 
4.28602 
4.45367 
4.61343 
2.117 
2.25566 
2.4027 
2.55799 
2.72035 
0 
0 
0 
3.4295 
3.61579 
3.80561 
3.99707 
4.1883 
4.37736 
4.56222 
4.7408 
4.91097 
2.25353 
2.40046 
2.55616 
2.72042 
2.89268 
3.07257 
3.2588 
3.45104 
3.64706 
3.84689 
4.04968 
4.25391 
4.45775 
4.6592 
4.85615 
5.04641 
5.2277 
2.39888 
2.5546 
2.71962 
2.89371 
3.07644 
3.26726 
3.4653 
3.6697 
3.87916 
4.09276 
4.30928 
4.52713 
4.74444 
4.95913 
5.169 
5.3717 
5.56486 
2.55359 
2.71872 
2.89375 
3.07844 
3.27242 
3.4751 
3.6857 
3.90329 
4.12667 
4.35459 
4.58558 
4.8179 
5.04955 
5.27837 
5.50199 
5.71796 
5.92376 
2.71828 
2.89348 
3.07922 
3.27528 
3.48129 
3.69669 
3.92071 
4.15236 
4.39042 
4.63345 
4.87977 
5.12744 
5.37436 
5.61818 
5.85645 
6.08655 
6.30581 
1.92136 
2.49944 
1.96141 
2.75983 
2.05416 
2.9758 
2.19796 
3.15616 
2.40414 
3.28651 
2.72306 
3.30789 
1.93374 
2.4092 
1.93389 
2.7187 
2.00048 
2.96033 
2.11372 
3.15012 
2.27785 
3.28209 
2.51816 
3.31742 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind10.png');
X = [
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
0.65625
0.6875
0.71875
0.75
0.78125
0.8125
0.84375
0.875
0.90625
0.9375
0.96875
1
0
0.03125
0.0625
0.09375
0.125
0.15625
0.1875
0.21875
0.25
0.28125
0.3125
0.34375
0.375
0.40625
0.4375
0.46875
0.5
0.53125
0.5625
0.59375
0.625
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];
plot3(X,Y,U, '.');
saveas(gcf,'Ind11.png');
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2.84305 
2.88636 
2.93013 
2.97433 
3.01895 
3.064 
3.10949 
3.15542 
3.2018 
3.24859 
3.29575 
3.34324 
3.39102 
3.43911 
3.48749 
3.53614 
3.58507 
3.63424 
3.68365 
3.73327 
3.78308 
3.83307 
3.8832 
3.93345 
3.98381 
4.03424 
4.08471 
4.13521 
4.1857 
4.23616 
4.28655 
4.33685 
4.38702 
4.43704 
4.48687 
4.53648 
4.58585 
4.63493 
4.6837 
4.73212 
4.78016 
4.82779 
4.87496 
4.92165 
4.96783 
5.01345 
5.05848 
5.10289 
5.14665 
2.25353 
2.28912 
2.32526 
2.36195 
2.39919 
2.43697 
2.4753 
2.51417 
2.55358 
2.59353 
2.63401 
2.67501 
2.71653 
2.75856 
2.80109 
2.84412 
2.88763 
2.93161 
2.97606 
3.02096 
3.0663 
3.11208 
3.15831 
3.20497 
3.25206 
3.29955 
3.34742 
3.39564 
3.44418 
3.49304 
3.54219 
3.59163 
3.64134 
3.69131 
3.74151 
3.79192 
3.84253 
3.89331 
3.94424 
3.9953 
4.04645 
4.09768 
4.14896 
4.20026 
4.25155 
4.30281 
4.354 
4.40509 
4.45606 
4.50687 
4.55749 
4.60789 
4.65803 
4.70789 
4.75743 
4.80662 
4.85542 
4.9038 
4.95172 
4.99915 
5.04605 
5.09239 
5.13814 
5.18325 
5.2277 
2.28902 
2.32516 
2.36186 
2.39911 
2.43693 
2.47529 
2.51422 
2.55369 
2.59371 
2.63427 
2.67537 
2.71701 
2.75917 
2.80185 
2.84504 
2.88873 
2.93292 
2.97759 
3.02273 
3.06834 
3.11441 
3.16092 
3.20788 
3.25528 
3.3031 
3.35132 
3.39993 
3.4489 
3.49821 
3.54784 
3.59778 
3.64801 
3.69851 
3.74928 
3.80028 
3.8515 
3.90292 
3.95451 
4.00625 
4.05812 
4.11008 
4.16213 
4.21422 
4.26633 
4.31844 
4.3705 
4.4225 
4.47441 
4.52618 
4.57779 
4.62922 
4.68041 
4.73135 
4.782 
4.83232 
4.88229 
4.93186 
4.981 
5.02968 
5.07786 
5.1255 
5.17258 
5.21904 
5.26487 
5.31002 
2.32507 
2.36177 
2.39903 
2.43686 
2.47526 
2.51422 
2.55375 
2.59383 
2.63447 
2.67566 
2.71739 
2.75967 
2.80248 
2.84582 
2.88968 
2.93406 
2.97893 
3.0243 
3.07016 
3.11648 
3.16328 
3.21053 
3.25824 
3.30638 
3.35494 
3.40392 
3.45328 
3.50301 
3.5531 
3.60351 
3.65425 
3.70528 
3.75659 
3.80816 
3.85998 
3.91202 
3.96425 
4.01666 
4.06923 
4.12192 
4.17472 
4.22759 
4.2805 
4.33344 
4.38637 
4.43926 
4.49209 
4.54481 
4.59741 
4.64984 
4.70207 
4.75408 
4.80582 
4.85727 
4.90839 
4.95915 
5.0095 
5.05942 
5.10887 
5.15781 
5.20621 
5.25402 
5.30123 
5.34778 
5.39364 
2.36168 
2.39895 
2.43679 
2.47521 
2.5142 
2.55377 
2.5939 
2.6346 
2.67587 
2.7177 
2.76008 
2.80301 
2.84649 
2.8905 
2.93504 
2.98011 
3.02568 
3.07176 
3.11834 
3.16539 
3.21293 
3.26093 
3.30938 
3.35828 
3.4076 
3.45734 
3.50748 
3.55799 
3.60887 
3.66008 
3.71162 
3.76346 
3.81559 
3.86798 
3.92062 
3.97349 
4.02656 
4.0798 
4.1332 
4.18673 
4.24036 
4.29407 
4.34783 
4.40161 
4.45538 
4.50911 
4.56277 
4.61633 
4.66975 
4.72301 
4.77608 
4.82891 
4.88147 
4.93373 
4.98566 
5.03722 
5.08837 
5.13907 
5.1893 
5.23902 
5.28818 
5.33675 
5.3847 
5.43199 
5.47858 
2.39888 
2.43672 
2.47515 
2.51416 
2.55375 
2.59393 
2.63469 
2.67602 
2.71793 
2.7604 
2.80344 
2.84704 
2.89119 
2.93589 
2.98112 
3.02689 
3.07318 
3.11998 
3.16728 
3.21508 
3.26336 
3.31212 
3.36134 
3.411 
3.4611 
3.51162 
3.56254 
3.61385 
3.66553 
3.71755 
3.7699 
3.82257 
3.87552 
3.92875 
3.98223 
4.03593 
4.08984 
4.14394 
4.19818 
4.25256 
4.30705 
4.36161 
4.41622 
4.47085 
4.52547 
4.58005 
4.63456 
4.68897 
4.74324 
4.79734 
4.85124 
4.90491 
4.95831 
5.01139 
5.06414 
5.11652 
5.16847 
5.21998 
5.27101 
5.32151 
5.37145 
5.42079 
5.46949 
5.51753 
5.56486 
2.43665 
2.47508 
2.5141 
2.55372 
2.59393 
2.63473 
2.67612 
2.71809 
2.76065 
2.80379 
2.84749 
2.89177 
2.93661 
2.982 
3.02794 
3.07442 
3.12143 
3.16896 
3.21701 
3.26556 
3.3146 
3.36412 
3.41411 
3.46456 
3.51545 
3.56676 
3.61848 
3.6706 
3.72309 
3.77593 
3.82911 
3.88261 
3.93641 
3.99048 
4.0448 
4.09936 
4.15413 
4.20908 
4.26419 
4.31943 
4.37478 
4.43021 
4.48568 
4.54118 
4.59667 
4.65211 
4.70748 
4.76275 
4.81788 
4.87284 
4.9276 
4.98211 
5.03635 
5.09028 
5.14386 
5.19706 
5.24984 
5.30217 
5.354 
5.40529 
5.45602 
5.50614 
5.55562 
5.60442 
5.65249 
2.47502 
2.51405 
2.55368 
2.59391 
2.63474 
2.67617 
2.71821 
2.76083 
2.80405 
2.84785 
2.89224 
2.9372 
2.98274 
3.02884 
3.0755 
3.1227 
3.17045 
3.21873 
3.26753 
3.31684 
3.36665 
3.41695 
3.46772 
3.51896 
3.57065 
3.62277 
3.67531 
3.72824 
3.78156 
3.83524 
3.88926 
3.94361 
3.99825 
4.05318 
4.10837 
4.16379 
4.21943 
4.27525 
4.33124 
4.38736 
4.44358 
4.49989 
4.55624 
4.61262 
4.66898 
4.72531 
4.78155 
4.8377 
4.8937 
4.94953 
5.00515 
5.06053 
5.11562 
5.17041 
5.22484 
5.27888 
5.33249 
5.38564 
5.43829 
5.4904 
5.54193 
5.59284 
5.6431 
5.69267 
5.7415 
2.514 
2.55363 
2.59387 
2.63473 
2.6762 
2.71827 
2.76096 
2.80424 
2.84813 
2.89262 
2.9377 
2.98336 
3.0296 
3.07642 
3.12381 
3.17175 
3.22024 
3.26928 
3.31884 
3.36893 
3.41952 
3.47061 
3.52218 
3.57423 
3.62673 
3.67967 
3.73303 
3.7868 
3.84096 
3.89549 
3.95036 
4.00557 
4.06108 
4.11688 
4.17294 
4.22924 
4.28576 
4.34247 
4.39934 
4.45635 
4.51347 
4.57066 
4.62791 
4.68518 
4.74244 
4.79965 
4.85679 
4.91382 
4.97071 
5.02743 
5.08393 
5.14018 
5.19615 
5.25179 
5.30709 
5.36198 
5.41644 
5.47043 
5.52391 
5.57685 
5.62919 
5.68091 
5.73196 
5.78231 
5.83192 
2.55359 
2.59383 
2.6347 
2.67619 
2.7183 
2.76103 
2.80438 
2.84834 
2.89291 
2.93809 
2.98387 
3.03025 
3.07721 
3.12476 
3.17288 
3.22158 
3.27083 
3.32063 
3.37097 
3.42184 
3.47323 
3.52512 
3.57751 
3.63037 
3.6837 
3.73747 
3.79167 
3.84629 
3.9013 
3.95669 
4.01243 
4.06851 
4.1249 
4.18158 
4.23853 
4.29573 
4.35314 
4.41075 
4.46852 
4.52643 
4.58445 
4.64256 
4.70071 
4.75889 
4.81705 
4.87517 
4.93321 
4.99115 
5.04894 
5.10655 
5.16394 
5.22108 
5.27794 
5.33446 
5.39063 
5.44639 
5.50172 
5.55656 
5.61089 
5.66465 
5.71783 
5.77036 
5.82222 
5.87337 
5.92376 
2.5938 
2.63467 
2.67617 
2.71831 
2.76107 
2.80447 
2.84849 
2.89314 
2.9384 
2.98428 
3.03077 
3.07787 
3.12557 
3.17386 
3.22274 
3.27219 
3.32221 
3.37279 
3.42393 
3.47559 
3.52779 
3.5805 
3.6337 
3.6874 
3.74156 
3.79618 
3.85124 
3.90672 
3.9626 
4.01886 
4.07548 
4.13245 
4.18973 
4.24731 
4.30516 
4.36326 
4.42158 
4.4801 
4.53879 
4.59762 
4.65656 
4.71558 
4.77466 
4.83375 
4.89284 
4.95188 
5.01084 
5.06969 
5.12839 
5.18692 
5.24522 
5.30326 
5.36102 
5.41844 
5.47549 
5.53213 
5.58833 
5.64404 
5.69923 
5.75385 
5.80786 
5.86122 
5.9139 
5.96586 
6.01704 
2.63465 
2.67615 
2.7183 
2.76109 
2.80452 
2.84859 
2.8933 
2.93864 
2.98461 
3.0312 
3.07842 
3.12625 
3.17469 
3.22374 
3.27338 
3.32361 
3.37441 
3.42578 
3.47772 
3.5302 
3.58321 
3.63674 
3.69079 
3.74533 
3.80034 
3.85582 
3.91175 
3.9681 
4.02486 
4.08201 
4.13953 
4.19739 
4.25558 
4.31407 
4.37284 
4.43186 
4.4911 
4.55055 
4.61017 
4.66993 
4.7298 
4.78976 
4.84977 
4.9098 
4.96982 
5.02979 
5.08969 
5.14947 
5.2091 
5.26855 
5.32777 
5.38674 
5.4454 
5.50373 
5.56169 
5.61923 
5.67631 
5.7329 
5.78896 
5.84444 
5.89931 
5.95352 
6.00703 
6.0598 
6.1118 
2.67614 
2.71829 
2.76109 
2.80455 
2.84865 
2.89341 
2.93881 
2.98485 
3.03154 
3.07886 
3.12682 
3.17539 
3.22459 
3.2744 
3.32482 
3.37583 
3.42743 
3.47961 
3.53236 
3.58566 
3.63951 
3.69388 
3.74878 
3.80417 
3.86006 
3.91641 
3.97321 
4.03045 
4.08811 
4.14616 
4.20459 
4.26337 
4.32247 
4.38189 
4.44159 
4.50154 
4.56172 
4.62211 
4.68267 
4.74337 
4.8042 
4.8651 
4.92606 
4.98705 
5.04802 
5.10894 
5.16978 
5.23051 
5.29108 
5.35147 
5.41163 
5.47153 
5.53112 
5.59037 
5.64924 
5.70769 
5.76568 
5.82316 
5.8801 
5.93646 
5.9922 
6.04726 
6.10162 
6.15523 
6.20804 
2.71828 
2.76109 
2.80456 
2.84869 
2.89348 
2.93893 
2.98504 
3.0318 
3.07922 
3.12727 
3.17598 
3.22531 
3.27528 
3.32587 
3.37707 
3.42888 
3.48129 
3.53429 
3.58786 
3.642 
3.69669 
3.75192 
3.80768 
3.86395 
3.92071 
3.97795 
4.03565 
4.09379 
4.15236 
4.21132 
4.27067 
4.33038 
4.39042 
4.45078 
4.51142 
4.57232 
4.63345 
4.6948 
4.75631 
4.81798 
4.87977 
4.94164 
5.00356 
5.06551 
5.12744 
5.18933 
5.25114 
5.31282 
5.37436 
5.4357 
5.49681 
5.55765 
5.61818 
5.67837 
5.73817 
5.79755 
5.85645 
5.91484 
5.97269 
6.02993 
6.08655 
6.14248 
6.1977 
6.25216 
6.30581 
1.96412 
2.22829 
1.93163 
2.33311 
1.91892 
2.41874 
1.91594 
2.49517 
1.91941 
2.5658 
1.9277 
2.63215 
1.94016 
2.69506 
1.95614 
2.75525 
1.97519 
2.81286 
1.99725 
2.86811 
2.02232 
2.92108 
2.05033 
2.97181 
2.08119 
3.02028 
2.11514 
3.06645 
2.1522 
3.1101 
2.19267 
3.15098 
2.23695 
3.18874 
2.28535 
3.22301 
2.33825 
3.25323 
2.39659 
3.27855 
2.46125 
3.29794 
2.5339 
3.30978 
2.61719 
3.31145 
2.71618 
3.2977 
2.8449 
3.25452 
2.03427 
2.13961 
1.95365 
2.29812 
1.92796 
2.40161 
1.9178 
2.48976 
1.91611 
2.56932 
1.92028 
2.64295 
1.92891 
2.71186 
1.9414 
2.77702 
1.95713 
2.83867 
1.97592 
2.89714 
1.99741 
2.95233 
2.02163 
3.00444 
2.04859 
3.05347 
2.07835 
3.09931 
2.111 
3.14183 
2.14669 
3.18076 
2.1856 
3.2158 
2.22799 
3.24647 
2.27413 
3.27208 
2.32489 
3.29236 
2.38081 
3.30607 
2.44322 
3.3121 
2.51402 
3.3085 
2.59657 
3.29188 
2.69781 
3.25492 
2.84183 
3.17358 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind12.png');

err = [
0.0267478
0.0128491
0.00478664
0.00266004
];
plot(err);
saveas(gcf,'0-norm-Err7.png');
err = [
0.44218
0.702615
1.19646
2.49675
];
plot(err);
saveas(gcf,'1-norm-Err8.png');
err = [
0.0761642
0.0621679
0.0521564
0.0548625
];
plot(err);
saveas(gcf,'2-norm-Err9.png');
X = [
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0
0.125
0.25
0.375
0.5
0.625
0.75
0.875
1
0.170892
0.538408
0.160024
0.549276
0.251007
0.458293
0.25
0.25
0.375
0.375
0.5
0.5
];
Y = [
0
0
0
0
0
0
0
0
0
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.125
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.25
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.375
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.625
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.75
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
1
1
1
1
1
1
1
1
1
0.5
0.5
0.625
0.625
0.75
0.75
0.408514
0.749386
0.379988
0.777912
0.44157
0.71633
];
U = [
1.00815 
1.14423 
1.2987 
1.46729 
1.64661 
1.83236 
2.01982 
2.20447 
2.38568 
1.13315 
1.29309 
1.46865 
1.65911 
1.86158 
2.07094 
2.28155 
2.48633 
2.67565 
1.28403 
1.46363 
1.66205 
1.87721 
2.10658 
2.34237 
2.57898 
2.8082 
3.01946 
1.45499 
1.65762 
1.88217 
2.1245 
2.387 
2.6516 
2.91766 
3.17582 
3.4146 
1.64872 
1.87756 
0 
0 
0 
3.00316 
3.30262 
3.59435 
3.86497 
1.86825 
2.12671 
0 
0 
0 
3.39974 
3.73877 
4.0697 
4.37696 
2.117 
2.4116 
2.74114 
0 
3.47146 
3.84746 
4.23229 
4.60919 
4.95932 
2.39888 
2.73122 
3.09853 
3.49881 
3.91707 
4.35002 
4.78956 
5.22132 
5.62521 
2.7364 
3.09485 
3.50416 
3.95209 
4.42613 
4.91816 
5.41789 
5.91326 
6.40148 
1.96787 
2.79841 
2.20375 
3.19683 
2.74397 
3.35148 
1.94654 
2.73945 
2.13496 
3.19028 
2.55481 
3.35903 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind13.png');
X = [
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
0.3125
0.375
0.4375
0.5
0.5625
0.625
0.6875
0.75
0.8125
0.875
0.9375
1
0
0.0625
0.125
0.1875
0.25
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0.1875
0.25
0.25
0.3125
0.3125
0.375
0.375
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0.5
0.5
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Y = [
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0
0
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1
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0.383442
0.774458
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0.777912
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U = [
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1.21005 
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0 
0 
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0 
0 
0 
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0 
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0 
0 
0 
0 
0 
0 
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0 
0 
0 
0 
0 
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2.00525 
2.96756 
2.12004 
3.15929 
2.28561 
3.29251 
2.52727 
3.32845 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind14.png');
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0.84375
0.84375
0.84375
0.84375
0.84375
0.84375
0.84375
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.875
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.90625
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
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0.9375
0.9375
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0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.9375
0.96875
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0.96875
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0.96875
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0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
0.96875
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.40625
0.40625
0.4375
0.4375
0.46875
0.46875
0.5
0.5
0.53125
0.53125
0.5625
0.5625
0.59375
0.59375
0.625
0.625
0.65625
0.65625
0.6875
0.6875
0.71875
0.71875
0.75
0.75
0.553702
0.604198
0.469128
0.688772
0.432215
0.725685
0.408514
0.749386
0.392906
0.764994
0.383442
0.774458
0.379247
0.778653
0.379988
0.777912
0.385721
0.772179
0.396917
0.760983
0.41469
0.74321
0.44157
0.71633
0.485075
0.672825
];
U = [
1.00049 
1.03231 
1.06532 
1.09935 
1.13435 
1.17029 
1.20717 
1.24495 
1.28361 
1.32311 
1.36343 
1.40453 
1.44635 
1.48886 
1.532 
1.57571 
1.61992 
1.66457 
1.70959 
1.75489 
1.8004 
1.84601 
1.89165 
1.9372 
1.98258 
2.02767 
2.07237 
2.11656 
2.16014 
2.203 
2.24507 
2.28634 
2.32709 
1.03174 
1.06495 
1.09907 
1.13419 
1.1703 
1.20738 
1.24542 
1.28439 
1.32426 
1.36501 
1.40661 
1.449 
1.49214 
1.53599 
1.58049 
1.62558 
1.67119 
1.71726 
1.7637 
1.81044 
1.85738 
1.90444 
1.95152 
1.99852 
2.04533 
2.09185 
2.13796 
2.18355 
2.2285 
2.2727 
2.31604 
2.3584 
2.39959 
1.06449 
1.0987 
1.13392 
1.17015 
1.2074 
1.24566 
1.28489 
1.32509 
1.36623 
1.40826 
1.45117 
1.4949 
1.5394 
1.58464 
1.63055 
1.67706 
1.72411 
1.77163 
1.81954 
1.86776 
1.91619 
1.96473 
2.0133 
2.06179 
2.11008 
2.15807 
2.20563 
2.25265 
2.29901 
2.34457 
2.38921 
2.43278 
2.47507 
1.09829 
1.13355 
1.16988 
1.20726 
1.24569 
1.28516 
1.32563 
1.3671 
1.40954 
1.4529 
1.49716 
1.54227 
1.58819 
1.63485 
1.68221 
1.73019 
1.77873 
1.82776 
1.87718 
1.92691 
1.97687 
2.02695 
2.07706 
2.12707 
2.17689 
2.22639 
2.27545 
2.32395 
2.37175 
2.41872 
2.46472 
2.5096 
2.55318 
1.13315 
1.16952 
1.207 
1.24556 
1.28521 
1.32592 
1.36768 
1.41046 
1.45424 
1.49898 
1.54464 
1.59117 
1.63854 
1.68668 
1.73554 
1.78504 
1.83511 
1.88568 
1.93666 
1.98797 
2.0395 
2.09116 
2.14285 
2.19444 
2.24583 
2.29689 
2.34749 
2.39751 
2.4468 
2.49524 
2.54267 
2.58894 
2.63389 
1.16912 
1.20664 
1.2453 
1.28509 
1.32599 
1.368 
1.41108 
1.45522 
1.50038 
1.54653 
1.59364 
1.64165 
1.69051 
1.74018 
1.79058 
1.84164 
1.8933 
1.94546 
1.99805 
2.05097 
2.10413 
2.15742 
2.21073 
2.26395 
2.31696 
2.36963 
2.42182 
2.47341 
2.52425 
2.57421 
2.62312 
2.67084 
2.71722 
1.20623 
1.24494 
1.28483 
1.32588 
1.36808 
1.41142 
1.45587 
1.5014 
1.548 
1.59562 
1.64421 
1.69375 
1.74416 
1.7954 
1.84739 
1.90007 
1.95335 
2.00716 
2.06141 
2.116 
2.17083 
2.2258 
2.28079 
2.33568 
2.39036 
2.44468 
2.49852 
2.55174 
2.60418 
2.6557 
2.70616 
2.75539 
2.80324 
1.24452 
1.28446 
1.32562 
1.36797 
1.41151 
1.45623 
1.50209 
1.54908 
1.59715 
1.64628 
1.69641 
1.74752 
1.79953 
1.85239 
1.90603 
1.96037 
2.01534 
2.07084 
2.1268 
2.1831 
2.23966 
2.29635 
2.35308 
2.4097 
2.4661 
2.52213 
2.57767 
2.63256 
2.68665 
2.7398 
2.79185 
2.84264 
2.89201 
1.28403 
1.32524 
1.3677 
1.41141 
1.45634 
1.50248 
1.5498 
1.59828 
1.64788 
1.69857 
1.75029 
1.80301 
1.85668 
1.91122 
1.96656 
2.02262 
2.07932 
2.13657 
2.19428 
2.25235 
2.31069 
2.36916 
2.42767 
2.48608 
2.54425 
2.60205 
2.65934 
2.71596 
2.77176 
2.82659 
2.88028 
2.93268 
2.98363 
1.32478 
1.36731 
1.41113 
1.45623 
1.50259 
1.55021 
1.59904 
1.64907 
1.70025 
1.75254 
1.8059 
1.86029 
1.91566 
1.97195 
2.02905 
2.08689 
2.14537 
2.20441 
2.26393 
2.32382 
2.38398 
2.4443 
2.50464 
2.56488 
2.62489 
2.68451 
2.74361 
2.80201 
2.85958 
2.91614 
2.97154 
3.0256 
3.07817 
1.36684 
1.41072 
1.45594 
1.50248 
1.55033 
1.59947 
1.64987 
1.70149 
1.7543 
1.80825 
1.86329 
1.91939 
1.97654 
2.03463 
2.09357 
2.15323 
2.21355 
2.27444 
2.33581 
2.39757 
2.45961 
2.52182 
2.58406 
2.6462 
2.70809 
2.7696 
2.83056 
2.89081 
2.9502 
3.00855 
3.0657 
3.12148 
3.17572 
1.41023 
1.45551 
1.50217 
1.5502 
1.59959 
1.6503 
1.70232 
1.75561 
1.81011 
1.86576 
1.9225 
1.98036 
2.03934 
2.09935 
2.16021 
2.22175 
2.28394 
2.34671 
2.40999 
2.47368 
2.53766 
2.60181 
2.666 
2.7301 
2.79394 
2.85739 
2.92027 
2.98243 
3.0437 
3.1039 
3.16286 
3.22041 
3.27638 
1.45499 
1.50173 
1.54988 
1.59944 
1.65041 
1.70276 
1.75647 
1.81149 
1.86774 
1.92518 
1.9836 
2.04319 
2.1041 
2.16619 
2.2291 
2.29253 
2.35661 
2.42131 
2.48654 
2.5522 
2.61818 
2.68434 
2.75055 
2.81666 
2.88252 
2.94797 
3.01284 
3.07696 
3.14017 
3.20228 
3.26312 
3.3225 
3.38024 
1.50118 
1.5494 
1.59909 
1.65024 
1.70284 
1.75688 
1.81235 
1.86922 
1.92725 
0 
0 
0 
0 
0 
0 
2.36567 
2.43163 
2.49829 
2.56552 
2.63322 
2.70125 
2.76948 
2.83777 
2.90597 
2.9739 
3.04142 
3.10834 
3.1745 
3.23971 
3.30379 
3.36656 
3.42782 
3.4874 
1.54883 
1.59859 
1.64986 
1.70264 
1.75692 
1.81269 
1.86998 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2.50899 
2.57771 
2.647 
2.71678 
2.78694 
2.85731 
2.92776 
2.9981 
3.06818 
3.13784 
3.20688 
3.27513 
3.34241 
3.40852 
3.47328 
3.5365 
3.59797 
1.598 
1.64934 
1.70225 
1.7567 
1.81269 
1.8702 
1.92917 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2.65967 
2.73103 
2.80297 
2.87532 
2.94791 
3.02058 
3.09315 
3.16545 
3.23731 
3.30854 
3.37896 
3.44837 
3.51658 
3.5834 
3.64862 
3.71205 
1.64872 
1.7017 
1.75629 
1.81247 
1.87023 
1.92956 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2.8176 
2.89182 
2.96647 
3.04136 
3.11633 
3.1912 
3.2658 
3.33993 
3.41342 
3.48608 
3.55769 
3.62807 
3.69701 
3.76431 
3.82975 
1.70106 
1.75572 
1.81204 
1.87001 
1.92961 
1.99076 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2.90675 
2.98341 
3.06047 
3.13776 
3.21511 
3.29236 
3.36932 
3.44581 
3.52163 
3.59659 
3.67048 
3.7431 
3.81423 
3.88367 
3.95119 
1.75505 
1.81146 
1.86958 
1.9294 
1.99092 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
2.99866 
3.07789 
3.15744 
3.2372 
3.31701 
3.39671 
3.47612 
3.55503 
3.63327 
3.71061 
3.78685 
3.86178 
3.93517 
4.00681 
4.07649 
1.81077 
1.86896 
1.92893 
1.99066 
2.05414 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
3.09371 
3.17544 
3.2575 
3.33979 
3.42213 
3.50436 
3.58629 
3.66772 
3.74844 
3.82824 
3.90691 
3.98422 
4.05995 
4.13387 
4.20576 
1.86825 
1.92828 
1.99015 
2.05384 
2.11934 
2.18657 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
3.19198 
3.27614 
3.36075 
3.44562 
3.53058 
3.61542 
3.69995 
3.78397 
3.86726 
3.94961 
4.03078 
4.11055 
4.18869 
4.26496 
4.33914 
1.92755 
1.98948 
2.05331 
2.11902 
2.18663 
2.25612 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
3.29329 
3.38001 
3.46725 
3.5548 
3.64245 
3.72999 
3.81721 
3.90391 
3.98985 
4.07482 
4.15857 
4.24088 
4.32151 
4.40021 
4.47675 
1.98874 
2.05262 
2.11845 
2.18624 
2.256 
2.32777 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
0 
3.30885 
3.39757 
3.48705 
3.57707 
3.6674 
3.75784 
3.84817 
3.93818 
4.02764 
4.11632 
4.204 
4.29042 
4.37536 
4.45855 
4.53976 
4.61873 
2.05187 
2.11774 
2.18562 
2.25553 
2.32745 
2.40141 
2.47742 
0 
0 
0 
0 
0 
0 
0 
0 
0 
3.32232 
3.41326 
3.50499 
3.5974 
3.69031 
3.78354 
3.87687 
3.97009 
4.06297 
4.15528 
4.2468 
4.33727 
4.42646 
4.5141 
4.59995 
4.68375 
4.76523 
2.117 
2.18492 
2.25491 
2.32697 
2.40109 
2.47726 
2.55544 
2.63552 
2.7172 
0 
0 
0 
0 
0 
0 
3.33425 
3.4271 
3.52101 
3.61576 
3.71118 
3.80711 
3.90333 
3.99965 
4.09585 
4.1917 
4.28697 
4.38141 
4.47478 
4.56681 
4.65726 
4.74585 
4.83231 
4.91639 
2.1842 
2.25422 
2.32637 
2.40065 
2.47704 
2.55551 
2.63601 
2.71845 
2.80271 
2.88877 
2.97629 
3.06553 
3.15676 
3.24977 
3.34402 
3.43908 
3.53514 
3.63216 
3.73002 
3.82855 
3.92758 
4.0269 
4.12631 
4.22559 
4.32451 
4.42282 
4.52029 
4.61664 
4.71162 
4.80496 
4.89638 
4.98561 
5.07236 
2.25353 
2.32572 
2.4001 
2.47667 
2.5554 
2.63626 
2.7192 
2.80415 
2.89103 
2.97976 
3.07023 
3.16247 
3.25651 
3.35218 
3.44923 
3.54741 
3.64665 
3.74686 
3.84791 
3.94963 
4.05186 
4.15437 
4.25697 
4.35944 
4.46152 
4.56298 
4.66357 
4.76301 
4.86103 
4.95736 
5.05171 
5.14379 
5.2333 
2.32507 
2.39949 
2.47617 
2.55511 
2.63626 
2.71961 
2.8051 
2.89268 
2.98227 
3.0738 
3.16719 
3.2624 
3.35936 
3.45796 
3.55801 
3.65932 
3.76177 
3.86524 
3.96956 
4.07456 
4.18007 
4.28588 
4.39177 
4.49752 
4.60287 
4.70758 
4.81138 
4.91401 
5.01519 
5.11461 
5.21199 
5.30702 
5.39939 
2.39888 
2.47561 
2.55467 
2.63605 
2.71972 
2.80565 
2.89379 
2.98409 
3.07648 
3.1709 
3.26726 
3.36549 
3.4655 
3.56718 
3.67036 
3.77489 
3.88063 
3.98741 
4.09509 
4.20347 
4.31237 
4.42157 
4.53085 
4.63997 
4.74869 
4.85675 
4.96388 
5.06981 
5.17423 
5.27687 
5.3774 
5.47549 
5.57081 
2.47502 
2.55416 
2.63568 
2.71959 
2.80585 
2.89445 
2.98534 
3.07846 
3.17375 
3.27114 
3.37055 
3.47188 
3.57505 
3.67992 
3.78636 
3.89421 
4.00331 
4.11352 
4.22464 
4.33649 
4.44887 
4.56156 
4.67433 
4.78694 
4.89913 
5.01065 
5.12121 
5.23053 
5.33832 
5.44428 
5.54808 
5.64938 
5.74778 
2.55359 
2.63522 
2.71929 
2.8058 
2.89475 
2.98611 
3.07984 
3.17588 
3.27416 
3.37462 
3.47716 
3.5817 
3.68812 
3.7963 
3.9061 
4.01737 
4.12995 
4.24366 
4.35832 
4.47374 
4.58971 
4.70599 
4.82236 
4.93856 
5.05433 
5.16941 
5.2835 
5.39633 
5.50759 
5.617 
5.72422 
5.82891 
5.93058 
2.63465 
2.71892 
2.80557 
2.89476 
2.98648 
3.0807 
3.17737 
3.27642 
3.3778 
3.48142 
3.5872 
3.69503 
3.80482 
3.91642 
4.02969 
4.14449 
4.26064 
4.37797 
4.49628 
4.61537 
4.73503 
4.85501 
4.97509 
5.09498 
5.21444 
5.33318 
5.45091 
5.56734 
5.68218 
5.79514 
5.90594 
6.01429 
6.1197 
2.71956 
2.80546 
2.89462 
2.98656 
3.08115 
3.17832 
3.27802 
3.38019 
3.48476 
3.59165 
3.70077 
3.81201 
3.92526 
4.04039 
4.15725 
4.27569 
4.39552 
4.51657 
4.63864 
4.76152 
4.88497 
5.00877 
5.13266 
5.25636 
5.37962 
5.50212 
5.62359 
5.74372 
5.86222 
5.9788 
6.09324 
6.20553 
6.31642 
1.93439 
2.33809 
1.91846 
2.50037 
1.92965 
2.63766 
1.95791 
2.76085 
1.99899 
2.87351 
2.05225 
2.9771 
2.11717 
3.0718 
2.19476 
3.15655 
2.28773 
3.22893 
2.3997 
3.28452 
2.53745 
3.31563 
2.71988 
3.30358 
2.0363 
2.14186 
1.9299 
2.40474 
1.9187 
2.57296 
1.93161 
2.71554 
1.96017 
2.84269 
2.00044 
2.95626 
2.05186 
3.0576 
2.11461 
3.14628 
2.18964 
3.22067 
2.27891 
3.27779 
2.38575 
3.31181 
2.51921 
3.31431 
2.70352 
3.26091 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind15.png');
X = [
0
0.015625
0.03125
0.046875
0.0625
0.078125
0.09375
0.109375
0.125
0.140625
0.15625
0.171875
0.1875
0.203125
0.21875
0.234375
0.25
0.265625
0.28125
0.296875
0.3125
0.328125
0.34375
0.359375
0.375
0.390625
0.40625
0.421875
0.4375
0.453125
0.46875
0.484375
0.5
0.515625
0.53125
0.546875
0.5625
0.578125
0.59375
0.609375
0.625
0.640625
0.65625
0.671875
0.6875
0.703125
0.71875
0.734375
0.75
0.765625
0.78125
0.796875
0.8125
0.828125
0.84375
0.859375
0.875
0.890625
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3.67277 
3.7253 
3.77818 
3.8314 
3.88492 
3.93874 
3.99284 
4.04718 
4.10176 
4.15654 
4.2115 
4.26662 
4.32187 
4.37723 
4.43266 
4.48814 
4.54364 
4.59913 
4.65457 
4.70995 
4.76522 
4.82035 
4.87532 
4.93007 
4.98459 
5.03884 
5.09277 
5.14636 
5.19957 
5.25236 
5.3047 
5.35654 
5.40785 
5.45859 
5.50872 
5.5582 
5.60699 
5.65505 
2.47502 
2.51415 
2.55388 
2.59421 
2.63515 
2.67668 
2.71881 
2.76153 
2.80485 
2.84875 
2.89323 
2.93828 
2.98391 
3.0301 
3.07684 
3.12414 
3.17197 
3.22033 
3.2692 
3.31859 
3.36847 
3.41884 
3.46968 
3.52099 
3.57273 
3.6249 
3.67749 
3.73047 
3.78383 
3.83754 
3.89159 
3.94597 
4.00064 
4.05559 
4.11079 
4.16623 
4.22188 
4.27771 
4.3337 
4.38983 
4.44606 
4.50237 
4.55872 
4.6151 
4.67146 
4.72779 
4.78404 
4.84018 
4.89618 
4.95202 
5.00764 
5.06302 
5.11812 
5.17291 
5.22735 
5.2814 
5.33502 
5.38819 
5.44085 
5.49298 
5.54452 
5.59545 
5.64571 
5.69528 
5.7441 
2.514 
2.55374 
2.59409 
2.63505 
2.67662 
2.7188 
2.76159 
2.80498 
2.84897 
2.89355 
2.93873 
2.98449 
3.03083 
3.07774 
3.12521 
3.17324 
3.22182 
3.27094 
3.32058 
3.37074 
3.42141 
3.47257 
3.52421 
3.57631 
3.62887 
3.68186 
3.73527 
3.78909 
3.84328 
3.89784 
3.95275 
4.00798 
4.06352 
4.11933 
4.17541 
4.23173 
4.28825 
4.34497 
4.40184 
4.45886 
4.51597 
4.57317 
4.63042 
4.68769 
4.74494 
4.80215 
4.85929 
4.91632 
4.97321 
5.02992 
5.08642 
5.14268 
5.19865 
5.2543 
5.3096 
5.36451 
5.41898 
5.47299 
5.52649 
5.57944 
5.63181 
5.68354 
5.73461 
5.78496 
5.83456 
2.55359 
2.59395 
2.63493 
2.67653 
2.71875 
2.76159 
2.80504 
2.84911 
2.89379 
2.93907 
2.98495 
3.03142 
3.07849 
3.12613 
3.17435 
3.22313 
3.27247 
3.32236 
3.37278 
3.42372 
3.47519 
3.52715 
3.5796 
3.63252 
3.6859 
3.73973 
3.79398 
3.84864 
3.90369 
3.95911 
4.01488 
4.07098 
4.12739 
4.18409 
4.24105 
4.29826 
4.35568 
4.41329 
4.47106 
4.52897 
4.58699 
4.64509 
4.70325 
4.76142 
4.81958 
4.87769 
4.93573 
4.99366 
5.05145 
5.10905 
5.16645 
5.22359 
5.28045 
5.33698 
5.39315 
5.44893 
5.50426 
5.55912 
5.61347 
5.66727 
5.72047 
5.77303 
5.82492 
5.87608 
5.92646 
2.5938 
2.6348 
2.67642 
2.71867 
2.76155 
2.80505 
2.84919 
2.89394 
2.93931 
2.9853 
3.0319 
3.0791 
3.1269 
3.17529 
3.22426 
3.27381 
3.32392 
3.37459 
3.4258 
3.47755 
3.52982 
3.58259 
3.63587 
3.68962 
3.74384 
3.79851 
3.85361 
3.90913 
3.96505 
4.02134 
4.07799 
4.13498 
4.19228 
4.24987 
4.30773 
4.36584 
4.42417 
4.48269 
4.54137 
4.6002 
4.65913 
4.71815 
4.77722 
4.83631 
4.89539 
4.95442 
5.01337 
5.07222 
5.13092 
5.18943 
5.24773 
5.30577 
5.36353 
5.42095 
5.47801 
5.53467 
5.59088 
5.64661 
5.70182 
5.75647 
5.81052 
5.86394 
5.91666 
5.96865 
6.01984 
2.63465 
2.67629 
2.71856 
2.76147 
2.80502 
2.8492 
2.89402 
2.93948 
2.98556 
3.03227 
3.0796 
3.12754 
3.17608 
3.22523 
3.27497 
3.32529 
3.37619 
3.42765 
3.47967 
3.53222 
3.58531 
3.63892 
3.69303 
3.74763 
3.8027 
3.85823 
3.9142 
3.97059 
4.02738 
4.08456 
4.14211 
4.19999 
4.25819 
4.31669 
4.37547 
4.43449 
4.49374 
4.55318 
4.61279 
4.67255 
4.73241 
4.79236 
4.85236 
4.91238 
4.97239 
5.03236 
5.09224 
5.15201 
5.21163 
5.27107 
5.33029 
5.38925 
5.44792 
5.50625 
5.56421 
5.62176 
5.67886 
5.73547 
5.79156 
5.84708 
5.90199 
5.95627 
6.00986 
6.06271 
6.11474 
2.67614 
2.71846 
2.76138 
2.80495 
2.84917 
2.89405 
2.93957 
2.98573 
3.03254 
3.07998 
3.12804 
3.17673 
3.22604 
3.27596 
3.32648 
3.37759 
3.42928 
3.48155 
3.53438 
3.58777 
3.64169 
3.69614 
3.7511 
3.80655 
3.86249 
3.91889 
3.97574 
4.03302 
4.09071 
4.14879 
4.20724 
4.26603 
4.32515 
4.38458 
4.44428 
4.50423 
4.56441 
4.62479 
4.68534 
4.74604 
4.80685 
4.86774 
4.92869 
4.98965 
5.05061 
5.11152 
5.17235 
5.23306 
5.29362 
5.354 
5.41415 
5.47404 
5.53363 
5.59288 
5.65175 
5.71021 
5.76821 
5.82572 
5.88269 
5.9391 
5.99489 
6.05004 
6.10452 
6.15829 
6.21128 
2.71861 
2.76133 
2.80487 
2.84911 
2.89402 
2.9396 
2.98583 
3.03272 
3.08026 
3.12844 
3.17726 
3.22671 
3.27679 
3.32749 
3.3788 
3.43072 
3.48322 
3.53631 
3.58997 
3.64419 
3.69896 
3.75426 
3.81009 
3.86641 
3.92323 
3.98052 
4.03826 
4.09644 
4.15504 
4.21403 
4.2734 
4.33312 
4.39317 
4.45353 
4.51417 
4.57507 
4.6362 
4.69753 
4.75903 
4.82069 
4.88245 
4.94431 
5.00621 
5.06814 
5.13006 
5.19193 
5.25372 
5.31539 
5.3769 
5.43823 
5.49933 
5.56016 
5.62069 
5.68087 
5.74068 
5.80005 
5.85897 
5.91738 
5.97525 
6.03255 
6.08922 
6.14525 
6.20063 
6.25538 
6.30974 
1.96497 
2.22976 
1.9323 
2.33469 
1.91946 
2.42039 
1.91638 
2.49688 
1.91978 
2.56755 
1.92801 
2.63394 
1.94043 
2.69687 
1.95636 
2.75708 
1.97538 
2.81471 
1.99743 
2.86999 
2.02249 
2.92297 
2.05049 
2.97372 
2.08135 
3.0222 
2.11531 
3.06838 
2.15239 
3.11205 
2.1929 
3.15294 
2.23722 
3.19071 
2.28566 
3.22499 
2.33862 
3.25522 
2.39704 
3.28055 
2.46179 
3.29994 
2.53455 
3.31178 
2.61798 
3.31344 
2.71715 
3.29967 
2.84611 
3.25643 
2.03443 
2.1398 
1.95389 
2.29845 
1.92826 
2.40206 
1.91819 
2.49034 
1.91658 
2.57003 
1.92084 
2.64379 
1.92956 
2.71282 
1.94213 
2.7781 
1.95794 
2.83987 
1.97681 
2.89844 
1.99838 
2.95374 
2.02268 
3.00594 
2.04972 
3.05505 
2.07956 
3.10098 
2.11228 
3.14356 
2.14803 
3.18256 
2.18701 
3.21765 
2.22945 
3.24837 
2.27565 
3.27401 
2.32646 
3.29432 
2.38244 
3.30805 
2.4449 
3.31409 
2.51574 
3.3105 
2.59833 
3.29388 
2.69962 
3.25691 
2.8437 
3.17555 
];
plot3(X,Y,U, '.');
saveas(gcf,'Ind16.png');

err = [
0.0956734
0.0321419
0.0106151
0.00462936
];
plot(err);
saveas(gcf,'0-norm-Err10.png');
err = [
2.80453
3.333
4.75289
9.06504
];
plot(err);
saveas(gcf,'1-norm-Err11.png');
err = [
0.344813
0.219002
0.161427
0.157915
];
plot(err);
saveas(gcf,'2-norm-Err12.png');
